Question 91117
{{{3(x-2)^2+1=0}}}

{{{3(x-2)^2=-1}}} Subtract 1 from both sides


{{{(x-2)^2=-1/3}}} Divide both sides by 3


{{{x-2=0+-sqrt(-1/3)}}} Take the square root of both sides


{{{x-2=0+-i*sqrt(1/3)}}} Simplify


{{{x=2+-i*sqrt(1/3)}}} Add 2 to both sides